GCD of 228, 764, 658, 995 Calculator

Given Input numbers are 228, 764, 658, 995

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Greatest Common Divisior

We found the divisors of 228, 764, 658, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 764, 658, 995 is 1.

Therefore, GCD of numbers 228, 764, 658, 995 is 1

Given Input Data is 228, 764, 658, 995

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 995 is 5 x 199

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(228, 764) = 43548

GCD(228, 764) = ( 228 x 764 ) / 43548

GCD(228, 764) = 174192 / 43548

GCD(228, 764) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 658

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 658) = 1316

GCD(4, 658) = ( 4 x 658 ) / 1316

GCD(4, 658) = 2632 / 1316

GCD(4, 658) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 995

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 995) = 1990

GCD(2, 995) = ( 2 x 995 ) / 1990

GCD(2, 995) = 1990 / 1990

GCD(2, 995) = 1

GCD of 228, 764, 658, 995 is 1

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1. What is the GCD of 228, 764, 658, 995?

GCD of 228, 764, 658, 995 is 1

2. Where do I get the detailed procedure to find GCD of 228, 764, 658, 995?

You can find a detailed procedure to find GCD of 228, 764, 658, 995 on our page.

3. How to find GCD of 228, 764, 658, 995 on a calculator?

You can find the GCD of 228, 764, 658, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.